Constructions A of lattices from number fields and division algebras

• Main Authors: Vehkalahti, Roope, Kositwattanarerk, Wittawat, Oggier, Frédérique
• Other Authors: School of Physical and Mathematical Sciences
• Format: Conference or Workshop Item
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Algebra
• Online Access: https://hdl.handle.net/10356/79610; http://hdl.handle.net/10220/20940
• Institution: Nanyang Technological University

There is a rich theory of relations between lattices and linear codes over finite fields. However, this theory has been developed mostly with lattice codes for the Gaussian channel in mind. In particular, different versions of what is called Construction A have connected the Hamming distance of the...